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43 Cards in this Set
 Front
 Back
in terms of sine and cosine, tan = ______

sin
____ cos 

In terms of sine and cosine, csc = _____

1
____ sin 

In terms of sine and cosine, cot = _____

cos
____ sin 

In terms of sine and cosine, sec = _____

1
____ cos 

What are three pythagorean identities

sin2x+cos2x=1
tan2x+1=sec2x 1+cot2x=csc2x 

cofunction identity for cos?

sin((pi/2)u)=cos u


cofunction identity for cot?

tan((pi/2)u)= cot u


cofunction identity for csc?

sec((pi/2)u)=csc u


cofunction identity for sin?

cos((pi/2)u)=sin u


cofunction identity for tan?

cot((pi/2)u)= tan u


cofunciton identity for sec?

csc((pi/2)u)=sec u


3 evenodd identities

sin(x)=sin x
cos(x)=cos x tan(x)=tan x 

Addition and subtraction formulas for sine?

sin(s+t)=sin s cos t+cos s sin t
sin(st)=sin s cos t  cos s sin t 

Addition and subtraction formulas for cosine?

cos(s+t)=cos s cos t  sin s sin t
cos(st)=cos s cos t + sin s sin t 

Addition and subtraction formulas for tangent?

tan(s+t)= tan s + tan t
_____________ 1tan s tan t tan (st)= tan s  tan t _____________ 1+tan s tan t 

0 radians = ___ degrees

0


pi/6 radians = _____ degrees

30


pi/3 radians= ____ degrees

60


pi/2 radians= ____ degrees

90


pi/4 radians = ____ degrees

45


cos and sine for 0 radians

1,0


cos and sine for pi/6 radians

sq(3)/2, 1/2


cos and sine for pi/4 radians

sq(2)/2


cos and sine for pi/2 radians

0,1


What is double angle formula for sine

sin 2x= 2 sin x cos x


What are 3 double angle formulas for cosine

cos 2x= cos^2xsin^2x
=12sin^2x =2cos^2x1 

what is double angle formula for tangent

tan2x= 2 tan x
_________ 1tan^2x 

name the sine sumtoproduct formula when there is addition

sin x + sin y= 2sin(x+y)/2 cos(xy)/2


name sumtoproduct formula for sine when subtraction is used

sin xsin y= 2 cos(x+y)/2 sin(xy)/2


name sumtoproduct formula for cosine when addition is used

cos x+cos y=2cos(x+y)/2 cos(xy)/2


name sumtoproduct formula for cos when subtraction is needed

cos xcos y= 2sin(x+y)/2 sin(xy)/2


what is product to sum formula for (sin u)(cos v)

1/2[sin(u+v)+sin(uv)]


what is product to sum formula for] (cos u)(sin v)

1/2[sin(u+v)sin(uv)]


what is product to sum formula for (cos u)(cos v)

1/2[cos(u+v)+cos(uv)]


what is product to sum formula for (sin u)(sin v)

1/2[cos(uv)cos(u+v)]


2 formulas for lowering powers for sin

sin^2x=1cos2x
_______ 2 sin x=sq(1cos^2x) 

what is half angle formula for sin?

sin(u/2)=+sq((1cos u)/2)


what is half angle formula for cos

cos(u/2)=+sq((1+cos u)/2)


what are two half angle formulas for tan

tan(u/2)=(1cos u)/sin u
OR sin u/(1+cos u) 

how do you decide whether to use + or  in sin and cos half angle formulas

depends on which quad in which u/2 lies


what is double angle formula for sine?

sin 2x=(2sinx)(cosx)


what are three double angle formulas fo cosine

cos 2x= cos^2xsin^2x
12sin^x 2cos^2x1 

What is double angle formula for tangent

tan 2x= 2 tan x
_______ 1tan^2x 